Photonic variational quantum eigensolver using entanglement measurements

TL;DR

This paper demonstrates a photonic variational quantum eigensolver that uses entanglement measurements to reduce resource demands and mitigate errors, leveraging linear optics for efficient implementation.

Contribution

It introduces a photonic VQE utilizing entanglement measurements with polarization and path degrees of freedom, avoiding extra experimental resources.

Findings

Entanglement measurements can be deterministically implemented using linear optics.

The setup can mitigate measurement errors for certain Hamiltonians.

Efficiently reduces measurement resource requirements in photonic VQE.

Abstract

Variational quantum eigensolver (VQE), which combines quantum systems with classical computational power, has been arisen as a promising candidate for near-term quantum computing applications. However, the experimental resources such as the number of measurements to implement VQE rapidly increases as the Hamiltonian problem size grows. Applying entanglement measurements to reduce the number of measurement setups has been proposed to address this issue, however, entanglement measurements themselves can introduce additional resource demands. Here, we apply entanglement measurements to the photonic VQE utilizing polarization and path degrees of freedom of a single-photon. In our photonic VQE, entanglement measurements can be deterministically implemented using linear optics, so it takes full advantage of introducing entanglement measurements without additional experimental demands. Moreover, we show that such a setup can mitigate errors in measurement apparatus for a certain Hamiltonian.